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Finding the Fourth Proportional to 2,364, 3,542.37 and 1,377.11

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Solution

The fourth proportional to 2,364, 3,542.37 and 1,377.11 is: 2,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364 : 3,542.37 = 1,377.11 : x
  2. Step 2: Convert to fraction form
    2,364/3,542.37 = 1,377.11/x
  3. Step 3: Cross multiply
    2,364x = 3,542.37 × 1,377.11
  4. Step 4: Simplify right side
    2,364x = 4,878,233.15
  5. Step 5: Solve for x
    x = 4,878,233.15/2,364
  6. Step 6: Final answer
    x = 2,063.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.